Improve Mooncake caching

[gdalle]

DI extensions

• Mooncake: use preparation to allocate tangent objects with the correct tangent type

@willtebbutt care to take a look?

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 95.45455% with 1 line in your changes missing coverage. Please review.

Project coverage is 98.69%. Comparing base (7a09754) to head (93d13bf).
Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
...MooncakeExt/DifferentiationInterfaceMooncakeExt.jl	50.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #513      +/-   ##
==========================================
- Coverage   98.71%   98.69%   -0.03%     
==========================================
  Files         105      105              
  Lines        4523     4529       +6     
==========================================
+ Hits         4465     4470       +5     
- Misses         58       59       +1     

Flag	Coverage Δ
DI	98.87% <95.45%> (-0.04%)	⬇️
DIT	98.31% <ø> (ø)

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